Solve (alpha - 1 )*(beta - 1) * (gamma - 1)

Evaluate

(α - 1) (β - 1) (γ - 1)

Multiply the terms

More Steps

(α β - α - β + 1) (γ - 1)

Apply the distributive property

α β γ - α β \times 1 - α γ - (- α \times 1) - β γ - (- β \times 1) + 1 \times γ - 1 \times 1

Any expression multiplied by 1 remains the same

α β γ - α β - α γ - (- α \times 1) - β γ - (- β \times 1) + 1 \times γ - 1 \times 1

Any expression multiplied by 1 remains the same

α β γ - α β - α γ - (- α) - β γ - (- β \times 1) + 1 \times γ - 1 \times 1

Any expression multiplied by 1 remains the same

α β γ - α β - α γ - (- α) - β γ - (- β) + 1 \times γ - 1 \times 1

Any expression multiplied by 1 remains the same

α β γ - α β - α γ - (- α) - β γ - (- β) + γ - 1 \times 1

Any expression multiplied by 1 remains the same

α β γ - α β - α γ - (- α) - β γ - (- β) + γ - 1

Solution

α β γ - α β - α γ + α - β γ + β + γ - 1

Simplify the expression